College physics homework solutions

CHEAT SHEET

Show that the total force on a rectangular dam due to the water college physics homework it increases with the square of the water depth.

You may assume the face of the dam is vertical. Calculate the average pressure exerted and multiply this by the area in contact with the water. Sign solutions to view this solution video!

College physics homework solutions

Start College physics homework solutions Free Week. Our job is to derive this expression for the force on a dam as college physics homework solutions function of the college physics homework solutions of the water behind it and the horizontal length of the dam as well.

It shows that the pressure is proportional to the college physics homework college physics homework of the height.

College physics homework solutions

Let's figure out why. So the average pressure because the pressure changes, here is zero at the very top and then here it's maximal pressure at the very bottom. Since that increases linearly with depth, linearly meaning it depends on the height to the power of one, we college physics homework solutions get the average pressure by just taking the simple arithmetic average of the college physics homework solutions at the top and the bottom.

So that is zero plus rho g h at the bottom divided by college physics homework solutions and this works out to rho g h over two.

Homework Solutions - (Textbook - College Physics 7th ed., Serway)

So now we'll say that the average pressure is the force that we're trying to find divided college physics homework solutions the area of the surface of the dam in contact with the water.

We can solve for F by multiplying both sides by A college physics homework solutions it's average pressure multiplied by area.

So that's this web page g h over two multiplied by length times college physics homework solutions, this is the area of the dam, and the h's get multiplied together to make h squared and we have the expression now, rho g h squared l over two.


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